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arXiv · 0708.3122

An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume

Ken-ichi Sugiyama
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Abstract

For a unitary local system of rank one on a complete hyperbolic threefold of finite volume which has only one cusp, we will compare the order of the Alexander invariant at t=1 and one of Ruelle-Selberg L-function at s=0. Our result may be considered as a geometric analog of the Iwasawa main conjecture in the algebraic number theory.

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Ken-ichi Sugiyama. 2007-08-23. An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume. https://arxiv.org/abs/0708.3122

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